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4. the map shows the route of a race. you are at y, 6000 feet from the …

Question

  1. the map shows the route of a race. you are at y, 6000 feet from the first checkpoint a. the second checkpoint b is located at the midpoint between a and the end of the race z. the total race is 3.1 miles. how far apart are the two checkpoints?

Explanation:

Step1: Convert miles to feet

Since 1 mile = 5280 feet, then 3.1 miles = 3.1×5280 = 16368 feet.

Step2: Find the distance from A to Z

The distance from Y to A is 6000 feet, so the distance from A to Z is 16368 - 6000=10368 feet.

Step3: Find the distance between A and B

Since B is the mid - point between A and Z, the distance between A and B is $\frac{10368}{2}=5184$ feet.

Answer:

5184 feet